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Simplifying 5j(j + -3) + -1(2j2 + -3j) = 0 Reorder the terms: 5j(-3 + j) + -1(2j2 + -3j) = 0 (-3 * 5j + j * 5j) + -1(2j2 + -3j) = 0 (-15j + 5j2) + -1(2j2 + -3j) = 0 Reorder the terms: -15j + 5j2 + -1(-3j + 2j2) = 0 -15j + 5j2 + (-3j * -1 + 2j2 * -1) = 0 -15j + 5j2 + (3j + -2j2) = 0 Reorder the terms: -15j + 3j + 5j2 + -2j2 = 0 Combine like terms: -15j + 3j = -12j -12j + 5j2 + -2j2 = 0 Combine like terms: 5j2 + -2j2 = 3j2 -12j + 3j2 = 0 Solving -12j + 3j2 = 0 Solving for variable 'j'. Factor out the Greatest Common Factor (GCF), '3j'. 3j(-4 + j) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(-4 + j)' equal to zero and attempt to solve: Simplifying -4 + j = 0 Solving -4 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + j = 0 + 4 Combine like terms: -4 + 4 = 0 0 + j = 0 + 4 j = 0 + 4 Combine like terms: 0 + 4 = 4 j = 4 Simplifying j = 4Solution
j = {0, 4}
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